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Finding the Fourth Proportional to 120,638.73, 180,958.10 and 82,650.54

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Solution

The fourth proportional to 120,638.73, 180,958.10 and 82,650.54 is: 123,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,638.73 : 180,958.10 = 82,650.54 : x
  2. Step 2: Convert to fraction form
    120,638.73/180,958.10 = 82,650.54/x
  3. Step 3: Cross multiply
    120,638.73x = 180,958.10 × 82,650.54
  4. Step 4: Simplify right side
    120,638.73x = 14,956,284,269.12
  5. Step 5: Solve for x
    x = 14,956,284,269.12/120,638.73
  6. Step 6: Final answer
    x = 123,975.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.